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Impressed by admiration of the boy by stranger, the father said My son is five times as old as my daughter and my wife is five times as old as my son. Im double the age of my wife and my grandmother is as old as the sum of ages of all of us and she is celebrating her 81st birthday. what is the age of the boy?
Correct answer is '5'. Can you explain this answer?
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Impressed by admiration of the boy by stranger, the fathersaid My son ...
5 yrs
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Impressed by admiration of the boy by stranger, the fathersaid My son ...
Given Information:
- The son is five times as old as the daughter.
- The wife is five times as old as the son.
- The father is double the age of his wife.
- The grandmother is celebrating her 81st birthday.
Step 1: Assign Variables
To solve this problem, let's assign variables to represent the ages of the daughter, son, wife, father, and grandmother.
- Let D represent the age of the daughter.
- Let S represent the age of the son.
- Let W represent the age of the wife.
- Let F represent the age of the father.
- Let G represent the age of the grandmother.
Step 2: Translate the Given Information into Equations
From the given information, we can translate the statements into equations:
1. The son is five times as old as the daughter: S = 5D
2. The wife is five times as old as the son: W = 5S
3. The father is double the age of his wife: F = 2W
4. The grandmother is as old as the sum of ages of all of us and she is celebrating her 81st birthday: G = D + S + W + F
Step 3: Solve the Equations
Now, let's solve the equations to find the values of the variables.
From equation 1, we can substitute S with 5D in equation 2:
W = 5(5D)
W = 25D
From equation 3, we can substitute W with 25D in equation 4:
G = D + S + W + F
G = D + 5D + 25D + 2(25D)
G = D + 5D + 25D + 50D
G = 81
Simplifying the equation:
81 = 81D
D = 1
Substituting D = 1 into equation 1:
S = 5(1)
S = 5
Step 4: Find the Age of the Boy
The age of the boy (son) is represented by S, which we found to be 5.
Therefore, the age of the boy is 5.
- The son is five times as old as the daughter.
- The wife is five times as old as the son.
- The father is double the age of his wife.
- The grandmother is celebrating her 81st birthday.
Step 1: Assign Variables
To solve this problem, let's assign variables to represent the ages of the daughter, son, wife, father, and grandmother.
- Let D represent the age of the daughter.
- Let S represent the age of the son.
- Let W represent the age of the wife.
- Let F represent the age of the father.
- Let G represent the age of the grandmother.
Step 2: Translate the Given Information into Equations
From the given information, we can translate the statements into equations:
1. The son is five times as old as the daughter: S = 5D
2. The wife is five times as old as the son: W = 5S
3. The father is double the age of his wife: F = 2W
4. The grandmother is as old as the sum of ages of all of us and she is celebrating her 81st birthday: G = D + S + W + F
Step 3: Solve the Equations
Now, let's solve the equations to find the values of the variables.
From equation 1, we can substitute S with 5D in equation 2:
W = 5(5D)
W = 25D
From equation 3, we can substitute W with 25D in equation 4:
G = D + S + W + F
G = D + 5D + 25D + 2(25D)
G = D + 5D + 25D + 50D
G = 81
Simplifying the equation:
81 = 81D
D = 1
Substituting D = 1 into equation 1:
S = 5(1)
S = 5
Step 4: Find the Age of the Boy
The age of the boy (son) is represented by S, which we found to be 5.
Therefore, the age of the boy is 5.
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Impressed by admiration of the boy by stranger, the fathersaid My son ...
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Impressed by admiration of the boy by stranger, the fathersaid My son is five times as old as my daughter and my wife is fivetimes as old as my son. Im double the age of my wife and mygrandmother is as old as the sum of ages of all of us and she iscelebrating her 81st birthday. what is the age of the boy?Correct answer is '5'. Can you explain this answer?
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Impressed by admiration of the boy by stranger, the fathersaid My son is five times as old as my daughter and my wife is fivetimes as old as my son. Im double the age of my wife and mygrandmother is as old as the sum of ages of all of us and she iscelebrating her 81st birthday. what is the age of the boy?Correct answer is '5'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Impressed by admiration of the boy by stranger, the fathersaid My son is five times as old as my daughter and my wife is fivetimes as old as my son. Im double the age of my wife and mygrandmother is as old as the sum of ages of all of us and she iscelebrating her 81st birthday. what is the age of the boy?Correct answer is '5'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Impressed by admiration of the boy by stranger, the fathersaid My son is five times as old as my daughter and my wife is fivetimes as old as my son. Im double the age of my wife and mygrandmother is as old as the sum of ages of all of us and she iscelebrating her 81st birthday. what is the age of the boy?Correct answer is '5'. Can you explain this answer?.
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